MATH 21 Worksheet # 9 - Two Sample Hypothesis Tests (Sections 11.1 - 11.4) Name Complete the following problems. This worksheet is due on and will count toward 30 in-class worksheet points. 1. A statistics student heard that an individual's arm span is equal to the individual's height. To test this hypothesis, the student used a random sample of 10 students and obtained the following data. Note all data is in inches. Student 1 2 3 4 5 6 8 9 10 Arm 62 65.5 76 53 74 61 59 70 Span 66 71 Height 59.5 69 77 59.5 74.5 63 61.5 67.5 73 69 Test the claim that arm span and height are not equal at the 0.01 level of significance. Step 5: There sufficient evidence to conclude that2. In a random sample of 60 adult health-care professionals, 6 were smokers. In a random sample of 65 adults who were not health-care professionals, 15 were smokers. At the 0.05 level of significance, test the claim that health-care professionals are less likely to be smokers than people who are not health-care professional. OF el IT sansailinge to level 10.0 will fe leyper Step 5: There sufficient evidence to conclude that3. At a community college, evening classes tend to have more reentry students than day classes, because most reentry students work during the day. A random sample of 75 day students had a mean age of 21.5 years, with a standard deviation of 4.44 years. A random sample of 43 evening students had a mean age of 29.8 years, with a standard deviation of 9.88 years. At the 0.05 level of significance, test the claim that the mean age of day students is less than the mean age of evening students. sufficient evidence to conclude that Step 5: There4. A random sample of 240 American men revealed that 68 held a bachelor's or graduate degree, while 43 of 151 randomly selected American women held a bachelor's or graduate degree. At the 0.01 level of significance, test the claim that the proportion of American men who have a bachelor's or graduate degree is not equal to the proportion of American women who do. Step 5: There sufficient evidence to conclude that5. A random sample of 10 cereals marketed to children had a mean of 13.2 grams of sugar per serving, with a standard deviation of 1.55 grams. A random sample of 10 cereals marketed to adults had a mean of 10.5 grams of sugar per serving, with a standard deviation of 5.76 grams. At the 0.01 level of significance, test the claim that the mean amount of sugar per serving in children's cereals is higher than the mean amount in adult cereals. Assume the data is normally distributed. Step 5: There sufficient evidence to conclude that